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Finding the Fourth Proportional to 296,536.23, 409,218.14 and 160,567.30

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Solution

The fourth proportional to 296,536.23, 409,218.14 and 160,567.30 is: 221,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,536.23 : 409,218.14 = 160,567.30 : x
  2. Step 2: Convert to fraction form
    296,536.23/409,218.14 = 160,567.30/x
  3. Step 3: Cross multiply
    296,536.23x = 409,218.14 × 160,567.30
  4. Step 4: Simplify right side
    296,536.23x = 65,707,051,850.82
  5. Step 5: Solve for x
    x = 65,707,051,850.82/296,536.23
  6. Step 6: Final answer
    x = 221,581.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.